Classical semirings

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Classical semirings

Journal Article (2025)

Author(s)

Hussein Behzadipour (Sharif University of Technology)

Henk Koppelaar (TU Delft - Interactive Intelligence)

Peyman Nasehpour (The New York Academy of Sciences)

Research Group

Interactive Intelligence

DOI related publication

https://doi.org/10.1080/00927872.2025.2532170

Units Classical semirings Completely primary semirings Nilpotents Zero-divisors

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https://resolver.tudelft.nl/uuid:584d4922-ad88-4c01-b4da-bd2357f4509e

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Publication Year

2025

Language

English

Research Group

Interactive Intelligence

Bibliographical Note

Green Open Access added to TU Delft Institutional Repository as part of the Taverne amendment. More information about this copyright law amendment can be found at https://www.openaccess.nl. Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Issue number

2

Volume number

54

Pages (from-to)

595-609

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

In this paper, we investigate semirings whose elements are either units or zero-divisors (nilpotents) with many examples. While comparing these semirings with their counterparts in ring theory, we observe that their behavior is different in many cases.

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